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Theorems · Theorem · order theory

Set.restrictPreimage_injective

∀ {α : Type u_1} {β : Type u_2} (t : Set β) {f : α → β},
  Function.Injective f → Function.Injective (t.restrictPreimage f)
Defined in
Mathlib.Data.Set.Restrict
Cited by
3 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

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Set.injective_iff_injective_of_iUnion_eq_univ · cited by 2Set.injective_iff_injecti…Set.restrictPreimage_bijective · cited by 2Set.restrictPreimage_bije…Function.Injective.restrictPreimage · cited by 1Injective.restrictPreimageSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.preimage · cited by 4946Set.preimageSubtype.coe_injective · cited by 205Subtype.coe_injectiveSet.restrictPreimage · cited by 84Set.restrictPreimageSet.restrictPreimage_injectiveCITED BYCITES

Cites5

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Cited by3

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